Le spectre du laplacien agissant sur les formes différentielles
Séminaire de théorie spectrale et géométrie (1995-1996)
- Volume: 14, page 25-37
- ISSN: 1624-5458
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topColbois, Bruno. "Le spectre du laplacien agissant sur les $p-$formes différentielles." Séminaire de théorie spectrale et géométrie 14 (1995-1996): 25-37. <http://eudml.org/doc/114390>.
@article{Colbois1995-1996,
author = {Colbois, Bruno},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Laplacian; differential form; eigenvalue},
language = {fre},
pages = {25-37},
publisher = {Institut Fourier},
title = {Le spectre du laplacien agissant sur les $p-$formes différentielles},
url = {http://eudml.org/doc/114390},
volume = {14},
year = {1995-1996},
}
TY - JOUR
AU - Colbois, Bruno
TI - Le spectre du laplacien agissant sur les $p-$formes différentielles
JO - Séminaire de théorie spectrale et géométrie
PY - 1995-1996
PB - Institut Fourier
VL - 14
SP - 25
EP - 37
LA - fre
KW - Laplacian; differential form; eigenvalue
UR - http://eudml.org/doc/114390
ER -
References
top- [AC95] ANNÉ C., COLBOIS B. - Spectre du laplacien agissant sur les p-formes différentielles et écrasement d'anses, Math. Ann. 303 ( 1995), 545-573. Zbl0909.58054MR1355003
- [BBG85] BÉRARD P., BESSON G., GALLOT S. - Sur une inégalité isopérimétrique qui généralise celle de Paul Lévy-Gromov, Invent. Math. 80 ( 1985). 295-308. Zbl0571.53027MR788412
- [BGM71] BERGER M., GAUDUCHON P., MAZET E. - Le spectre d'une variété riemannienne, Springer-Verlag, 1971. Zbl0223.53034MR282313
- [Br86] BROOKS R. - The spectral geometry of a tower of covering, J. Differential Geom. 23 ( 1986), 97-107. Zbl0576.58033MR840402
- [BT86] BOTT R., TU L. - Differential forms inalgebraic topology, Springer-Verlag, 1986. Zbl0496.55001
- [Bu82] BUSER P. - A note on the isoperimetric constant, Ann. Sci. École Norm. Sup.Paris 15 ( 1982), 213-230. Zbl0501.53030MR683635
- [CC96] COLBOIS B., COURTOIS G. - En préparation, 1996.
- [CC90] COLBOIS B., COURTOIS G. - A note on the first non-zero eigenvalue of the Laplacien acting on p-forms, Manuscripts Math. ( 1990), 143-160. Zbl0709.53031MR1063223
- [CD94] COLBOIS B., DODZIUK J. - Riemannian metrics with large λ1, Proc. Amer. Math. Soc. 122 n° 3 ( 1994), 905-906. Zbl0820.58056MR1213857
- [Cg75] CHENG S.Y. - Eigenvalues comparison theorems and its geometric application, Math. Z. 143 ( 1975), 289-297. Zbl0329.53035MR378001
- [Cr68] CHEEGER J. - The relation between the Laplacian and the diameter for manifolds of non-negative curvature, Archiv. der Math. XLX ( 1968), 558-560. Zbl0177.50201MR238227
- [Cr70] CHEEGER J. - A lower bound for the smallest eigenvalue of the Laplacian, "Problem in AnaJysis" Princeton Univ. Press ( 1970), 195-199. Zbl0212.44903MR402831
- [CE75] CHEEGER J., EBIN D. - Comparison theorem in Riemannian geometry, "North-Holland" Publ. Amsterdam, 1975. Zbl0309.53035MR2394158
- [CZ95] CHENG X., ZHOU D. - First eigenvalue estimate on Riemannian manifolds, Hokkaïdo Mathematical Journal 24 ( 1995), 453-472. Zbl0843.58123MR1357026
- [Fo95] FORMAN R. - Spectral sequences and adiabatic limits, Commun Math. Phys. 168( 1995), 57-116. Zbl0827.58001MR1324391
- [Fu90] FUKAYA K. - Hausdorff convergence of Riemannian manifolds and its applications, recent topics in differential and analytic geometry, (T.Ochiai ed.) Adv. Stud. Pure Math., Kinohuniya, Tokyo 18 ( 1990),. Zbl0754.53004MR1145256
- [Fu87] FUKAYA K. - Collapsing Riemannian manifolds to one of lower dimension, J. Differential Geom. 25 ( 1987). 517-547. Zbl0589.58034MR873459
- [Fu89] FUKAYA K. - Collapsing Riemannian manifolds to one of lower dimension II, J. Math. Soc. Japan 41 ( 1989), 333-356. Zbl0703.53042MR984756
- [Gr80] GROMOV M. - Paul Lévy's isoperimetric inequality, Prépublication IHES, 1980.
- [GLP80] GROMOV M., LAFONTAINE J., PANSU P. - Structure métrique pour les variétés riemanniennes, Cedic-Fernand Nathan, 1980. Zbl0509.53034
- [GP95] GENTILE G., PAGLIARA V. - Riemannian metrics with large fust eigenvalue on forms of degree p, Proc. Amer. Math. Soc. 123 ( 1995). 3855-3856. Zbl0848.53022MR1277111
- [He70] HERSCH J. - Quatre propriétés isopérimétriques des membranes sphériques, C. R. Acad. Sci. Paris ( 1970), 1645-1648. Zbl0224.73083MR292357
- [HK78] HEINTZE E., KARCHER H. - A general comparison theorem with applications to volume estimates for submanifolds, Ann. Sci. École Norm. Sup. Paris 11 ( 1978), 451-470. Zbl0416.53027MR533065
- [Li58] LICHNEROWICZ A. - Géométrie des groupes de transformations, Dunod, 1958. Zbl0096.16001MR124009
- [Lo95] LOHKAMP I. - Discontinuity of geometric expansions, Preprint, 1995. Zbl0857.58041
- [Mu80] MUTO H. - The first eigenvalue of the Laplacian on even dimensional spheres, Tohoku Math. Journal 32 ( 1980), 427-432. Zbl0427.53020MR590038
- [Pa83] PANSU P. - Effondrement des variétés riemanniennes, Sem. Bourbaki, 618, 1983-84. Zbl0551.53020
- [Ur79] URAKAWA H. - On the least eigenvalue of the Laplacian for compact group manifolds, J. Math. Soc. Japan 31 ( 1979). 209-226. Zbl0402.58012MR519046
- [Wa83] WARNER F. - Foundation of differentiable manifolds and Lie groups, Springer-Verlag, 1983. Zbl0516.58001MR722297
- [YY80] YANG P., YAU S.T. - Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds, Ann. Scuola Norm. Sup. Pisa 7 ( 1980), 55-63. Zbl0446.58017MR577325
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